Pith Number

pith:FJOAOJW6

pith:2023:FJOAOJW6IWOO34WMWUGPZY2NR5

not attested not anchored not stored refs pending

Finite index rigidity of hyperbolic groups

Nir Lazarovich

arxiv:2302.04484 v3 · 2023-02-09 · math.GR · math.MG

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FJOAOJW6IWOO34WMWUGPZY2NR5}

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Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Cited by

1 paper in Pith

Finite Index Rigidity of Relatively Hyperbolic Groups

Receipt and verification

First computed	2026-07-05T09:19:50.637762Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2a5c0726de459cedf2ccb50cfce34d8f7d1fd65f3902c6e89ff9e0a1a88fb1ed

Aliases

arxiv: 2302.04484 · arxiv_version: 2302.04484v3 · doi: 10.48550/arxiv.2302.04484 · pith_short_12: FJOAOJW6IWOO · pith_short_16: FJOAOJW6IWOO34WM · pith_short_8: FJOAOJW6

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/FJOAOJW6IWOO34WMWUGPZY2NR5 \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 2a5c0726de459cedf2ccb50cfce34d8f7d1fd65f3902c6e89ff9e0a1a88fb1ed

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bb13585cc1b6314fa92173f7e3bcbff1f8b594a9ac265c3b2879fd489048d0ea",
    "cross_cats_sorted": [
      "math.MG"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2023-02-09T08:04:10Z",
    "title_canon_sha256": "8befbf23e22ff05129a1f312cb76618e1d1382279901f1d89a6c550e7d3d0fad"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2302.04484",
    "kind": "arxiv",
    "version": 3
  }
}